85518632885049 has 432 divisors, whose sum is σ = 159370111660032. Its totient is φ = 43256373608448.

The previous prime is 85518632885027. The next prime is 85518632885069. The reversal of 85518632885049 is 94058823681558.

It is a happy number.

85518632885049 is a `hidden beast` number, since 8 + 5 + 5 + 1 + 8 + 6 + 32 + 88 + 504 + 9 = 666.

It is not a de Polignac number, because 85518632885049 - 2⁵ = 85518632885017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85518632885069) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 443101724697 + ... + 443101724889.

Almost surely, 2^{85518632885049} is an apocalyptic number.

It is an amenable number.

85518632885049 is a deficient number, since it is larger than the sum of its proper divisors (73851478774983).

85518632885049 is a wasteful number, since it uses less digits than its factorization.

85518632885049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 663552000, while the sum is 72.

The spelling of 85518632885049 in words is "eighty-five trillion, five hundred eighteen billion, six hundred thirty-two million, eight hundred eighty-five thousand, forty-nine".